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### Vector Reference     # If Two Vectors Are Perpendicular

This post categorized under Vector and posted on December 29th, 2018.

Two vectors are perpendicular if the angle between them is fracpi2 i.e. if the dot product is 0. This follows from the fact that for two vectors vecv vecw we have vecvcdotvecw vecvvecwcos(theta) where theta is the angle between vecv and vecw.Perpendicular Vector A vector perpendicular to a given vector is a vector (voiced -perp) such that and form a right angle . In the plane there are two vectors perpendicular to any given vector one rotated counterclockwise and the other rotated clockwise.If two vectors are perpendicular then their dot-product is equal to zero. The cross-product of two vectors is defined to be AB (a2_b3 - a3_b2 a3_b1 - a1_b3 a1_b2 - a2b1). The cross product of two non-parallel vectors is a vector that is perpendicular to both of them.

Two vectors are perpendicular if their dot product is zero and parallel if their dot product is 1. Take the dot product of our two vectors to find the answer Using our The cross product of two vectors is a vector perpendicular to both. (7 problems) For corrections suggestions or feedback please email adminleadinglesson.comIf the two vectors are perpendicular then their dot product is zero. So v1(x1 y1 z1) v2(x2 y2 z2). x1 x2 y1 y2 z1 z2 0 You know (x1 y1 z1). Put arbitrary x2 andy2 and you will receive the corresponding z2 z1 z2 -x1 x2 - y1 y2 z2 (-x1 x2 - y1 y2) z1 Be aware if z1 is 0. Then you are in the plane. ## Vectors In Two Dimensions

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